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For a 3s - orbital, value of Phi is give...

For a 3s - orbital, value of `Phi` is given by following realation:
`Psi(3s)=(1)/(9sqrt(3))((1)/(a_(0)))^(3//2)(6-6sigma+sigma^(2))e^(-sigma//2)," where " sigma=(2r.Z)/(3a_(0))`
What is the maximum radial distance of node from nucleus?

A

`((3+sqrt(3))a_(0))/(Z)`

B

`(a_(0))/(Z)`

C

`(3)/(2)((3+sqrt(3))a_(0))/(Z)`

D

`(2a_(0))/(Z)`

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For a 3s-orbital Phi(3s)=(1)/(asqrt(3))((1)/(a_(0)))^(3//2)(6-6sigma+sigma^(2))in^(-sigma//2) where sigma=(2rZ)/(3a_(sigma)) What is the maximum radial distance of node from nucleus?

For an orbital , Psi_(300) = (1)/(81sqrt3 pi) ((z)/(a_(0)))^(3//2)[27 - 18u + 2u^(2)]"exp" ((-u)/(3)) where u = (zr)/(a_(0)) What is the maximum radial distance of node from nucleus of He^(+) ion ?

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According to qauntum mechanical model of H-like species, and electron can be represented by a wave function (psi) which contain all dynamic information about the electron. The nature of wave function depends on the type of the orbital to which the electron belongs. For an orbital psi=[sqrt(2)/(81sqrt(3pi))]((1)/(a_(0)))^(3//2)(27-18sigma+2sigma^(2))e^((sigma)/(3)) Where, sigma =((Zr)/(a_(0))),r = radial distance from nucleous, a_(0)=52.9"pm" The number of radial and angular nodes possible for the orbital given above are respectively

According to qauntum mechanical model of H-like species, and electron can be represented by a wave function (psi) which contain all dynamic information about the electron. The nature of wave function depends on the type of the orbital to which the electron belongs. For an orbital psi=[sqrt(2)/(81sqrt(3pi))]((1)/(a_(0)))^(3//2)(27-18sigma+2sigma^(2))e^((sigma)/(3)) Where, sigma =((Zr)/(a_(0))),r = radial distance from nucleous, a_(0)=52.9pm Which of the following represents the position of one of the radial nodes?

The wave function of 3s and 3p_(z) orbitals are given by : Psi_(3s) = 1/(9sqrt3) ((1)/(4pi))^(1//2) ((Z)/(sigma_(0)))^(3//2)(6=6sigma+sigma)e^(-sigma//2) Psi_(3s_(z))=1/(9sqrt6)((3)/(4pi))^(1//2)((Z)/(sigma_(0)))^(3//2)(4-sigma)sigmae^(-sigma//2)cos0, sigma=(2Zr)/(nalpha_(0)) where alpha_(0)=1st Bohr radius , Z= charge number of nucleus, r= distance from nucleus. From this we can conclude:

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